Statistics of Extreme Spacings in Determinantal Random Point Processes
classification
🧮 math.PR
keywords
determinantalintervalpointrandomspacingsstatisticsconditionsextreme
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We study translation-invariant determinantal random point fields on the real line. We prove, under quite general conditions, that the smallest nearest spacings between the particles in a large interval have Poisson statistics as the length of the interval goes to infinity.
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